Factor Out the Greatest Common Factor $15 x ^ { 2 } + 18 x y + 20 x y + 24 y ^ { 2 }$

question 606

Multiple Choice

Factor out the greatest common factor. Simplify the factors, if possible.
- $15 x ^ { 2 } + 18 x y + 20 x y + 24 y ^ { 2 }$

• A) \(( 3 x - 4 y ) ( 5 x + 6 y )\)
• B) \(( 3 x + 4 ) ( 5 x + 6 )\)
• C) \(( 3 x + 4 y ) ( 5 x + 6 y )\)
• D) \(( 15 x + 4 y ) ( x + 6 y )\)

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Definitions:

Grammatically Correct

Conforming to the rules of grammar in a particular language, resulting in sentences or phrases that are structured correctly.

Referents

The actual thing or concept to which a word or symbol refers.

Differentia

The characteristic or set of characteristics that distinguishes one thing or category from another within a broader classification.

Genus

A term in taxonomy and logic referring to a class or group that shares common characteristics, serving as a means of categorizing entities.